Question

) The Ratios of ages of Rahul and Haroon is 5:7 four years later the sum of their ages will be
56 years find their present ages.
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Answer 1

Answer:

Rahul 's age =20 years

Haroons age = 28 years

Explanation:

Let the ages of Rahul and Haroon be 5x and 7x years respectively.

Four years later,

Rahul's age =5x+4 and, Haroon's age =7x+4

According to the given condition, we have

(5x+4)+(7x+4)=56

⇒12x+8=56

⇒12x=56−8

⇒12x=48

⇒x=

12

48

=4

∴ Rahul's age =5×4=20 years and Haroon's age

=7×4=28 years.

Answer 2

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The age of Rahul and Haroon are in the ratio 5:7. Four years later the sum of ages will be 56 years. What are their present ages?

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Let the current age of Rahul and Haroon be 5x and 7x respectively

Four years later their ages become 5x + 4 and 7x + 4 respectively.

According to the question,

5x + 4 +7x + 4 = 56

or 12x + 8 = 56

Transposing 8 to the RHS we get,

12x = 48

Dividing both sides by 12 gives,

x = 48/12 = 4

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Thus current age of Rahul = 5*4 = 20

Haroon = 7*4 = 28

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Hope it helps you!

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